Problems

# Segments intersection

Two segments are given in the plane with integer coordinates of its endpoints in Cartesian coordinate system. Determine whether they intersect (have a common point).

#### Input

The first line contains the coordinates of the first endpoint of the first segment, the second line - the second endpoint of the first segment. The third and fourth lines - the corresponding coordinates of the second segment. The coordinates are integer, their absolute value do not exceed 10000.

#### Output

Print the word "Yes", if segments have common point, or "No" otherwise.

Time limit 1 second
Memory limit 128 MiB
Input example #1
0 0
1 0
1 0
1 1

Output example #1
Yes

Input example #2
0 0
1 0
2 0
3 0

Output example #2
No